New exact solitary wave solutions of the strain wave equation in microstructured solids via the generalized exponential rational function method

S Kumar, A Kumar, AM Wazwaz - The European Physical Journal Plus, 2020 - Springer
In this article, we utilize the generalized exponential rational function method and obtain
exact solitary wave solutions in various forms of the strain wave equation. Abundant exact …

[HTML][HTML] Solitary wave solutions for a strain wave equation in a microstructured solid

H ur Rehman, AU Awan, A Habib, F Gamaoun… - Results in Physics, 2022 - Elsevier
In this article, a strain wave equation (SWE) is studied, which is used to model wave
propagation in microstructured materials that earn a noteworthy place in solid-state physics …

[HTML][HTML] Application of modified exp-function method for strain wave equation for finding analytical solutions

M Shakeel, NA Shah, JD Chung - Ain Shams Engineering Journal, 2023 - Elsevier
The strain wave equation in micro-structured solids, which is significant in solid physics, is
offered for consideration in this work. This is accomplished using the modified exp-function …

Modified exp-function method to find exact solutions of microtubules nonlinear dynamics models

M Shakeel, Attaullah, NA Shah, JD Chung - Symmetry, 2023 - mdpi.com
In this paper, we use the modified exp− ψ θ-function method to observe some of the solitary
wave solutions for the microtubules (MTs). By treating the issues as nonlinear model partial …

Dynamical behaviour of nondissipative double dispersive microstrain wave in the microstructured solids

ME Elbrolosy, AA Elmandouh - The European Physical Journal Plus, 2021 - Springer
This work is interested in studying nondissipative double dispersive microstrain wave in the
microstructured solids. Using a certain transformation, the basic equation is transformed into …

Abundant exact solutions to the strain wave equation in micro-structured solids

KK Ali, R Yilmazer, H Bulut, T Aktürk… - … Physics Letters B, 2021 - World Scientific
In this study, the strain wave equation in micro-structured solids which take an important
place in solid physics is presented for consideration. The generalized exponential rational …

Generalized exp-function method to find closed form solutions of nonlinear dispersive modified Benjamin–Bona–Mahony equation defined by seismic sea waves

M Shakeel, Attaullah, ER El-Zahar, NA Shah… - Mathematics, 2022 - mdpi.com
Using the new generalized exp-function method, we were able to derive significant novel
closed form solutions to the nonlinear dispersive modified Benjamin–Bona–Mahony …

[HTML][HTML] Invariance properties of the microstrain wave equation arising in microstructured solids

M Usman, A Hussain, AM Zidan, A Mohamed - Results in Physics, 2024 - Elsevier
The Lie group method stands as a significant, powerful, and straightforward mathematical
tool for discovering precise invariant solutions and traveling wave solutions in prevalent …

[PDF][PDF] A new application of the unified method.

S Akcagil, T Aydemir - New Trends in Mathematical Sciences, 2018 - ntmsci.com
In this paper, we show that the unified method is not only more general than the family of
tanh function methods, also it gives many more general solutions than the new members of …

[HTML][HTML] An analytical method for solving exact solutions of the nonlinear Bogoyavlenskii equation and the nonlinear diffusive predator–prey system

MN Alam, C Tunc - Alexandria Engineering Journal, 2016 - Elsevier
In this article, we apply the exp (-Φ (ξ))-expansion method to construct many families of exact
solutions of nonlinear evolution equations (NLEEs) via the nonlinear diffusive predator–prey …